Advertisements
Advertisements
प्रश्न
If x and y vary inversely as other and x = 3 when y = 8, find y when x = 4 .
Advertisements
उत्तर
\[ \text{ Since x and y vary inversely, we have: } \]
\[xy = k\]
\[\text{ For x = 3 and y = 8, we have: } \]
\[3 \times 8 = k\]
\[ \Rightarrow k = 24\]
\[ \text{ For x = 4, we have: } \]
\[4y = 24\]
\[ \Rightarrow y = \frac{24}{4}\]
\[ = 6\]
\[ \therefore y = 6\]
APPEARS IN
संबंधित प्रश्न
Which of the following are in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?
6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?
Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?
If on increasing a, b decreases in such a manner that ______ remains ______ and positive, then a and b are said to vary inversely with each other.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 6 | 8 | q | 25 |
| b | 18 | p | 39 | r |
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
